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  • Cited by 4
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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Lewowicz, Jorge 2002. On axiom A diffeomorphisms C0-close to pseudo-Anosov maps. Topology and its Applications, Vol. 122, Issue. 1-2, p. 309.

    1994. Topological Theory of Dynamical Systems - Recent Advances.

    Fathi, Albert 1990. Homotopical stability of pseudo-Anosov diffeomorphisms. Ergodic Theory and Dynamical Systems, Vol. 10, Issue. 02,

    Mosher, Lee 1989. Equivariant spectral decomposition for flows with a -action. Ergodic Theory and Dynamical Systems, Vol. 9, Issue. 02,

  • Ergodic Theory and Dynamical Systems, Volume 8, Issue 4
  • December 1988, pp. 585-596

Entropy and semi-conjugacy in dimension two

  • Michael Handel (a1)
  • DOI:
  • Published online: 01 September 2008

We prove that if a diffeomorphism f of a closed surface is homotopic to and has the same topological entropy as a pseudo-Anosov homeomorphism g, then f is semi-conjugate to g. As part of the proof, a necessary and sufficient condition is given for a pseudo-orbit of a pseudo-Anosov homeomorphism g to be shadowed by an actual orbit of g.

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[Fr]J. Franks . Anosov diffeomorphisms. Proceedings of the Symposium in Pure Mathematics 14 (1968) 6194.

[H-T]M. Handel & W. Thurston . New proofs of some results of Nielsen. Adv. Math. 56 (1985), 173191.

[M]R. T. Miller . Nielsen's viewpoint on geodesic laminations. Adv. in Math. 45 (1982), 189212.

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Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
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